Computing the Visibility Polygons of the Endpoints of a Set of Line Segments in Output Sensitive Time

نویسندگان

  • MARK KEIL
  • STEPHEN WISMATH
چکیده

Given a set S of n non-intersecting line segments in the plane, we present an algorithm that computes the 2n visibility polygons of the endpoints of S, in output sensitive time. The algorithm relies on the ordered endpoint visibility graph information to traverse the endpoints of S in a spiral-like manner using a combination of Jarvis' March and depthrst search. One extension of this result is an e cient algorithm for computing the full visibility graph of S, in which vertices correspond to segments and a pair of vertices are joined by an edge if the corresponding line segments are somewhere visible.

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تاریخ انتشار 2007